Start searching for malware inside the pcap. Use the tools mentioned in Malware Analysis.
This tool comes inside kali but you can find it here: https://github.com/simsong/bulk_extractor
This tool can scan an image and will extract pcaps inside it, network information(URLs, domains, IPs, MACs, mails) and more files. You only have to do:
bulk_extractor memory.img -o out_folder
Navigate through all the information that the tool has gathered (passwords?), analyze the packets (read Pcaps analysis), search for weird domains (domains related to malware or non-existent).
Searches for AES keys by searching for their key schedules. Able to find 128. 192, and 256 bit keys, such as those used by TrueCrypt and BitLocker.
The premiere open-source framework for memory dump analysis is Volatility. Volatility is a Python script for parsing memory dumps that were gathered with an external tool (or a VMware memory image gathered by pausing the VM). So, given the memory dump file and the relevant "profile" (the OS from which the dump was gathered), Volatility can start identifying the structures in the data: running processes, passwords, etc. It is also extensible using plugins for extracting various types of artifact. From: https://trailofbits.github.io/ctf/forensics/
When the dump is small (just some KB, maybe a few MB) the it's probably a mini dump crash report and not a memory dump.
If you hat Visual Studio installed, you can open this file and bind some basic information like process name, architecture, exception info and modules being executed:
You can also load the exception and see the decompiled instructions
Anyway Visual Studio isn't the best tool to perform a analysis in depth of the dump.
You should open it using IDA or Radare to inspection it in depth.